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Finding the Fourth Proportional to 1,230.48, 1,709.64 and 1,215

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Solution

The fourth proportional to 1,230.48, 1,709.64 and 1,215 is: 1,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.48 : 1,709.64 = 1,215 : x
  2. Step 2: Convert to fraction form
    1,230.48/1,709.64 = 1,215/x
  3. Step 3: Cross multiply
    1,230.48x = 1,709.64 × 1,215
  4. Step 4: Simplify right side
    1,230.48x = 2,077,212.60
  5. Step 5: Solve for x
    x = 2,077,212.60/1,230.48
  6. Step 6: Final answer
    x = 1,688.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.